Lecture 6

1 x1 1 x2 1 x n all the paricles in

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Unformatted text preview: ( x1 ! x2 )2 > ± =< x 2 > a + < x 2 >b !2 < x > a < x >b !2 |< x > ab |2 < (!x )2 > ± =< (!x )2 > dist !2 |< x > ab |2 the difference is last term Exchange force < (!x )2 > ± =< (!x )2 > dist !2 |< x > ab |2 Note the term < x > ab = 0 < x > ab ! # x" a ( x )*" b ( x ) dx unless the two parIcle wavefuncIons overlap This means that the exchange force is only relevant for nearby parIcles. Can sIll think of single electrons, provided they’re far apart! If there IS overlap: Bosons: Last term brings parIcles closer together (aaracIve force) Fermions: Last term wants to separate the parIcles (repulsive force) Heisenberg termed this...
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